GCD of 153, 604, 712, 312 Calculator

Given Input numbers are 153, 604, 712, 312

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 153, 604, 712, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 604, 712, 312 is 1.

Therefore, GCD of numbers 153, 604, 712, 312 is 1

Given Input Data is 153, 604, 712, 312

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(153, 604) = 92412

GCD(153, 604) = ( 153 x 604 ) / 92412

GCD(153, 604) = 92412 / 92412

GCD(153, 604) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 153, 604, 712, 312 is 1

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1. What is the GCD of 153, 604, 712, 312?

GCD of 153, 604, 712, 312 is 1

2. Where do I get the detailed procedure to find GCD of 153, 604, 712, 312?

You can find a detailed procedure to find GCD of 153, 604, 712, 312 on our page.

3. How to find GCD of 153, 604, 712, 312 on a calculator?

You can find the GCD of 153, 604, 712, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.